It is worth noting that there can be cancellations between different trees with the same embedding. This occurs for example for the Kronecker quiver with \(\kappa \)  arrows and dimension
vector \((1,n)\)  with \(n>\kappa \) , as noted below (REF ), and can be viewed as a consequence of the Pauli exclusion principle for multi-centered black holes [1]}. A weak version of the
Split Attractor Flow Conjecture is then that the number of active attractor flow trees
is finite.
